Grade 5 Curriculum
Below are skills needed, with links to resources to help with that skill. We also encourage plenty of exercises and book work. Curriculum Home
Important: this is a guide only.
Check with your local education authority to find out their requirements.
Grade 5 | Multiplication
☐ Use a variety of strategies to multiply three-digit by three-digit numbers Note: Multiplication by anything greater than a three-digit multiplier/ multiplicand should be done using technology.
☐ Understand how to multiply by negative numbers
☐ Develop fluency with multiplication facts up to 12x
Grade 5 | Division
☐ Use a variety of strategies to divide three-digit or four-digit numbers by one-digit or two-digit numbers Note: Division by anything greater than a two-digit divisor should be done using technology.
☐ Easily test if one number can be evenly divided by another by using divisibility rules.
Grade 5 | Numbers
☐ Read and write whole numbers to millions
☐ Recognize that some numbers are only divisible by one and themselves (prime) and others have multiple divisors (composite)
☐ Calculate multiples of a whole number and the least common multiple of two numbers
☐ Identify the factors of a given number
☐ Find the common factors and the greatest common factor of two numbers
☐ Evaluate an arithmetic expression using order of operations including multiplication, division, addition, subtraction and parentheses
☐ Compare and order numbers to millions
☐ Round numbers to the nearest hundredth and up to the nearest 10,000
☐ Understand the place value structure of the base ten number system: * 10 ones = 1 ten * 10 tens = 1 hundred * 10 hundreds = 1 thousand * 10 thousands = 1 ten thousand * 10 ten thousands = 1 hundred thousand * 10 hundred thousands = 1 million
☐ Understand the difference between a factor and a multiple of an integer.
Grade 5 | Decimals
☐ Compare decimals using <, >, or =
☐ Use a variety of strategies to add, subtract, multiply, and divide decimals to thousandths
☐ Read, write, and order decimals to thousandths
☐ Convert percents to decimals
Grade 5 | Fractions
☐ Simplify fractions to lowest terms
☐ Convert improper fractions to mixed numbers, and mixed numbers to improper fractions
☐ Use a variety of strategies to add and subtract fractions with like denominators
☐ Add and subtract mixed numbers with like denominators
☐ Estimate sums and differences of fractions with unlike denominators.
☐ Create equivalent fractions, given a fraction
☐ Compare and order fractions including unlike denominators (with and without the use of a number line) Note: Commonly used fractions such as those that might be indicated on ruler, measuring cup, etc.
☐ Compare fractions using <, >, or =
☐ Add, subtract, multiply and divide fractions (including mixed fractions) whose denominators are powers of ten - decimal fractions.
☐ Divide a fraction by a whole number
☐ Multiply a fraction by a whole number
☐ Express decimals as an equivalent form of fractions with denominators that are powers of 10, and simplify to lowest terms.
☐ Convert percents to fractions
Grade 5 | Percentages
☐ Understand that percent means part of 100
☐ Convert fractions or decimals to percents
Grade 5 | Ratios
☐ Understand the concept of ratio
☐ Express ratios in different forms
Grade 5 | Measurement
☐ Use a ruler to measure to the nearest centimeter or millimeter
☐ Determine personal references for metric units of length
☐ Identify customary equivalent units of length (metric)
☐ Convert lengths within the metric system
☐ Determine the tools and techniques required to measure with an appropriate level of precision: lengths and angles
☐ Measure and draw angles using a protractor
☐ Understand Temperature
☐ Understand the Celsius and Fahrenheit temperature scales, including the freezing and boiling points of water on the two scales
☐ Use a ruler to measure to the nearest inch, 1/2, 1/4 or 1/8 inch
☐ Determine personal references for US standard units of length
☐ Identify customary equivalent units of length (US)
☐ Convert lengths within the US system
Grade 5 | Time
☐ Calculate elapsed time in hours and minutes
☐ Convert times in minutes and seconds to seconds, or hours and minutes to minutes
Grade 5 | Geometry (Plane)
☐ Evaluate the perimeter formula for given input values
☐ Calculate the perimeter of regular and irregular polygons
☐ Identify corresponding parts of congruent triangles
☐ Identify and draw lines of symmetry of basic geometric shapes
☐ Plot points to form basic geometric shapes (identify and classify)
☐ Calculate perimeter of basic geometric shapes drawn on a coordinate plane (rectangles and shapes composed of rectangles having sides with integer lengths and parallel to the axes)
☐ Identify pairs of similar triangles, or other geometrical shapes
☐ Identify the ratio of corresponding sides of similar triangles
☐ Classify quadrilaterals by properties of their angles and sides
☐ Know that the sum of the interior angles of a quadrilateral is 360 degrees
☐ Classify triangles by properties of their angles and sides
☐ Know that the sum of the interior angles of a triangle is 180 degrees
☐ Find a missing angle when given two angles of a triangle
☐ Identify pairs of congruent triangles, or other geometrical shapes
☐ Know that a right angle is 90 degrees, a straight angle is 180 degrees and a full circle is 360 degrees.
☐ Understand what is meant by the order of rotational symmetry of a plane shape, and know how to find its value.
☐ Understand what is meant by regular and irregular polygons; convex and concave polygons; and complex polygons.
☐ Understand what is meant by point symmetry
☐ Understand what is meant by the vertex of an angle and adjacent angles
Grade 5 | Geometry (Solid)
☐ Understand the Platonic Solids
☐ Construct models of polyhedra (including the Platonic solids) from their nets.
☐ Understand polyhedrons and classify them as Platonic solids, prisms, pyramids etc
Grade 5 | Algebra
☐ Define and use appropriate terminology when referring to constants, variables, operators, coefficients and algebraic expressions
☐ Translate simple verbal expressions into algebraic expressions
☐ Substitute assigned values into variable expressions and evaluate using order of operations
☐ Solve simple one-step equations using basic whole-number facts
☐ Solve and explain simple one-step equations using inverse operations involving whole numbers
☐ Create and explain patterns and algebraic relationships (example: 2,4,6,8... is algebraically 2n (doubling))
☐ Create algebraic or geometric patterns using concrete objects or visual drawings (e.g., rotate and shade geometric shapes)
☐ Know the difference between a closed sentence and an open sentence.
Grade 5 | Coordinates
☐ Identify and plot points in the first quadrant
Grade 5 | Logic
☐ Use logical reasoning to solve problems involving various skills
Grade 5 | Data
☐ Collect and record data from a variety of sources (e.g., newspapers, magazines, polls, charts, and surveys)
☐ Display data in a line graph to show an increase or decrease over time
☐ Calculate the mean for a given set of data and use to describe a set of data
☐ Formulate conclusions and make predictions from graphs
Grade 5 | Estimation
☐ Justify the reasonableness of estimates
☐ Estimate sums, differences, products, and quotients of decimals
☐ Justify the reasonableness of answers using estimation
Grade 5 | Probability
☐ List the possible outcomes for a single-event experiment
☐ Record experiment results using fractions/ratios
☐ Create a sample space and determine the probability of a single event, given a simple experiment (e.g., rolling a number cube)
☐ Locate probabilities on a probability number line, and know the meaning of the probabilities 0, 1/2 and 1.